Cross-dipole antenna configurations

ABSTRACT

An apparatus has an improved antenna pattern for a cross dipole antenna. Such antennas desirably have an omnidirectional antenna pattern. Conventional cross dipole antennas exhibit nulls in their antenna patterns, which can cause antennas to deviate from a standard or specification. Applicant recognized and confirmed that the connection of a coaxial cable to the antenna arms is a cause of the nulls in the antenna pattern, and has devised techniques disclosed herein to compensate or cancel the effects of the connection. In one embodiment, the arms of the cross dipole antenna that are coupled to a center conductor of the coaxial cable remain of conventional length, but the arms of the cross dipole antenna that are coupled to a shield of the coaxial cable are lengthened by a fraction of the radius of the outer diameter of the coaxial cable.

CROSS-REFERENCE TO RELATED APPLICATION

This application is a continuation of U.S. application Ser. No.13/887,054, filed May 3, 2013, which is a continuation of U.S.application Ser. No. 13/617,954, filed Sep. 14, 2012, now U.S. Pat. No.8,441,406, issued May 14, 2013, which is a continuation of U.S.application Ser. No. 12/841,048, filed Jul. 21, 2010, now U.S. Pat. No.8,325,101, issued Dec. 4, 2012, which in turn is a continuation-in-part(CIP) application of U.S. application Ser. No. 12/784,992, filed May 21,2010, now U.S. Pat. No. 8,289,218, issued Oct. 16, 2012, which in turnis a continuation-in-part (CIP) application of U.S. application Ser. No.12/534,703, filed Aug. 3, 2009, now U.S. Pat. No. 8,427,385, issued Apr.23, 2013, the disclosures of each of which are hereby incorporated byreference in their entireties herein.

BACKGROUND

Field of the Invention

The invention generally relates to radio frequency antennas, and inparticular, to omnidirectional antennas. A better transmission field(antenna pattern) permits lower transmitter power settings to be used,which conserves power.

Description of the Related Art

In certain situations, an antenna with an omnidirectional pattern isdesirable. For instance, such a characteristic is typically preferredfor an antenna in a transmitter application, such as a wireless accesspoint. In other situations, an omnidirectional pattern may be requiredby a regulation, such as an FCC regulation. In other situations, antennahaving a relatively good axial ratio characteristics for circularlypolarized waves is desired.

One example of a conventional omnidirectional antenna is known as aturnstile antenna. Such an antenna is constructed from four quarterwavelength arms, and each arm is energized with 90 degree phaseintervals between each arm. 0 and 180 degrees of phase shift areavailable from the center core (or center conductor) and the shield (orouter conductor), respectively, of a coaxial cable. For 90 and 270degrees, typically, a quarter wavelength phase shift is implemented witha length of cable a quarter wavelength long. See, for example, U.S. Pat.No. 2,086,976 to Brown. Other phase shifting circuits can also be used.See, for example, U.S. Pat. No. 3,725,943 to Spanos.

Another example of a conventional omnidirectional antenna is known as across-dipole antenna. A cross-dipole antenna is driven by a singlecoaxial cable and is advantageously compact. In addition, one pair ofarms (first dipole) is longer than a second pair of arms (second dipole)such that in an ideal case, phase shifts of 45, 135, 225, 315 degreesare established by the arms themselves without a need for an externalphase shifter or a second coax. See, for example, U.S. Pat. No.2,420,967 to Moore; the background discussion (FIG. 7) within U.S. Pat.No. 6,163,306 to Nakamura, et al.; Japanese Patent ApplicationPublication No. H04-291806 by Kazama; and the background discussion(FIG. 10B) within U.S. Pat. No. 6,271,800 to Nakamura, et al.

However, Applicant has observed that conventional omnidirectionalantennas, such as conventional cross-dipole antennas, undesirablyexhibit null patterns, which can cause an antenna or a system to fail aspecification, reduce yield, or otherwise incur costly tuningprocedures.

FIG. 1 illustrates an antenna pattern 102 that results when the arms ofthe cross-dipole antenna are driven by currents of unequal amplitudes.FIG. 2 illustrates an antenna pattern 202 that results when the arms ofthe cross-dipole antenna are not driven with precise 90 degree phaseshifts, that is, are not in quadrature. Each of the patterns illustratedin FIGS. 1 and 2 is easily correctable by one of ordinary skill in theart, as the source of the problem was recognized.

FIG. 3 illustrates a top-view of a prior art cross-dipole antenna. See,for example, U.S. Pat. No. 2,420,967 to Moore. A coaxial structure, suchas a coaxial cable feedline, connector, bracket, adapter, frame, or thelike, includes a center conductor 302 and an outer shield 304. In acoaxial cable, a dielectric material fills the space between the centerconductor 302 and the outer shield 304.

In counterclockwise order from above, the antenna has a first arm 312, asecond arm 314, a third arm 316, and a fourth arm 318. A mirror image ofthe antenna is also applicable. In the conventional cross-dipoleantenna, the first arm 312 and the third arm 316 share the same length(as measured from the center of the coaxial structure). The second arm314 and the fourth arm 318 share the same length.

FIG. 4 illustrates an example of an antenna pattern for a cross-dipoleantenna according to the prior art that can be encountered when thediameter of the outer conductor (shield) of a coaxial cable is notnegligible with respect to wavelength. The antenna pattern can varysubstantially from that of a desired omnidirectional pattern. Thepattern 402 illustrated in FIG. 4 is based on a simulation as will bediscussed later in connection with FIG. 8. The antenna phasors 404 arenot of equal magnitude and are offset from a quadrature orientation (90degrees). Applicant is not aware of conventional techniques in the artfor correcting the asymmetric antenna pattern illustrated in FIG. 4 thatis encountered with cross-dipole antennas.

SUMMARY OF THE DISCLOSURE

An apparatus has an improved antenna pattern for a cross dipole antenna.Such antennas desirably have an omnidirectional antenna pattern.Conventional cross dipole antennas exhibit nulls in their antennapatterns, which can cause antennas to deviate from a standard orspecification. Applicant recognized and confirmed that the connection ofa coaxial cable to the antenna arms is a cause of the nulls in theantenna pattern, and has devised techniques disclosed herein tocompensate or cancel the effects of the connection. In one embodiment,the arms of the cross dipole antenna that are coupled to a centerconductor of the coaxial cable remain of conventional length, but thearms of the cross dipole antenna that are coupled to a shield of thecoaxial cable are lengthened by a fraction of the radius (half thediameter) of the coaxial cable.

One embodiment is an apparatus, wherein the apparatus includes: a crossdipole antenna having a first polarization orientation, the cross dipoleantenna comprising: a coaxial structure having a center conductor and anouter shield having an outer diameter with corresponding radius R; aplurality of conductive arms comprising at least a first arm, a secondarm, a third arm, and a fourth arm, wherein the plurality lie generallyin a plane and are spaced apart from each other by about 90 degrees,such that a proximal end of each of the plurality of arms is arrangednear a center point and wherein each of the plurality of arms extendsgenerally outward at a distal end, wherein: the first arm iselectrically coupled to the center conductor at a proximal end and has afirst predetermined length; the second arm is electrically coupled tothe center conductor at a proximal end and has a second predeterminedlength different from the first predetermined length; the third arm iselectrically coupled to the outer shield at a proximal end and has athird predetermined length, wherein the third predetermined length isequal to the sum of the first predetermined length and 0.15 to 1.5 timesthe radius R, the third arm extending opposite the first arm such thatthe third arm and the first arm form a first dipole; and the fourth armis electrically coupled to the outer shield at a proximal end and has afourth predetermined length, wherein the fourth predetermined length isequal to the sum of the second predetermined length and 0.15 to 1.5times the radius R, the fourth arm extending opposite the second armsuch that the fourth arm and the second arm form a second dipole; and asecond antenna having a second polarization orthogonal to the firstpolarization.

Another embodiment is an apparatus, wherein the apparatus includes: across dipole antenna having a first polarization, the cross dipoleantenna comprising: a coaxial structure having a center conductor and anouter shield; at least a first arm, a second arm, a third arm, and afourth arm, wherein the arms lie generally in a plane and are spacedapart from each other by about 90 degrees, wherein a proximal end ofeach arm is arranged near a center point and wherein each arm extendsgenerally outward at a distal end, wherein: the first arm iselectrically coupled to the center conductor at a proximal end; thesecond arm is electrically coupled to the center conductor at a proximalend; the third arm is electrically coupled to the outer shield at aproximal end, the third arm extending opposite the first arm such thatthe third arm and the first arm form a first dipole; and the fourth armis electrically coupled to the outer shield at a proximal end, thefourth arm extending opposite the second arm such that the fourth armand the second arm form a second dipole; wherein a radius of the outershield of the coaxial structure is at least one-fiftieth of the shortestof the first arm, the second arm, the third arm, or the fourth arm, andwherein each of the first arm, the second arm, the third arm, and thefourth arm have different predetermined lengths, as measured from acenter of the coaxial structure, to compensate for distortion of theantenna pattern induced by the coaxial structure; and a second antennahaving a second polarization orthogonal to the first polarization.

Another embodiment is an apparatus, wherein the apparatus includes: across dipole antenna having a first polarization, the cross dipoleantenna comprising: a coaxial structure having a center conductor and anouter shield, the outer shield having an outer diameter and acorresponding radius R; a first dipole comprising a first pair of arms;and a second dipole comprising a second pair of arms; wherein the armsof at least one pair of the first pair or the second pair have fixedasymmetric lengths such that an arm coupled to the outer shield islonger than an arm coupled to the center conductor, as measured from acenter of the coaxial structure, by 0.15 to 1.5 times the radius R; anda second antenna having a second polarization orthogonal to the firstpolarization.

An apparatus has an improved antenna pattern for a cross dipole antenna.Such antennas desirably have an omnidirectional antenna pattern.Conventional cross dipole antennas exhibit nulls in their antennapatterns, which can cause antennas to deviate from a standard orspecification. Applicant recognized and confirmed that the connection ofa coaxial cable to the antenna arms is a cause of the nulls in theantenna pattern, and has devised techniques disclosed herein tocompensate or cancel the effects of the connection. In one embodiment,the arms of the cross dipole antenna that are coupled to a centerconductor of the coaxial cable remain of conventional length, but thearms of the cross dipole antenna that are coupled to a shield of thecoaxial cable are lengthened by a fraction of the radius R (half thediameter) of the coaxial cable. In another embodiment, the lengths ofall the arms are modified from that of the conventional cross dipoleantenna.

Another embodiment is an apparatus, wherein the apparatus includes: across dipole antenna having a first polarization and a secondpolarization, the cross dipole antenna comprising: a coaxial structurehaving a center conductor and an outer shield; at least a first arm, asecond arm, a third arm, and a fourth arm, wherein the arms liegenerally in a plane and are spaced apart from each other by about 90degrees, wherein a proximal end of each arm is arranged near a centerpoint and wherein each arm extends generally outward at a distal end,wherein: the first arm is electrically coupled to the center conductorat a proximal end; the second arm is electrically coupled to the centerconductor at a proximal end; the third arm is electrically coupled tothe outer shield at a proximal end, the third arm extending opposite thefirst arm such that the third arm and the first arm form a first dipole;and the fourth arm is electrically coupled to the outer shield at aproximal end, the fourth arm extending opposite the second arm such thatthe fourth arm and the second arm form a second dipole; wherein a radiusof the outer shield of the coaxial structure is at least one-fiftieth ofthe shortest of the first arm, the second arm, the third arm, or thefourth arm, and wherein each of the first arm, the second arm, the thirdarm, and the fourth arm have different predetermined lengths, asmeasured from a center of the coaxial structure, to compensate fordistortion of the antenna pattern induced by the coaxial structure; anda second antenna having a third polarization orthogonal to the firstpolarization and the second polarization of the cross-dipole antenna. Inone embodiment, the radius of the outer shield of the coaxial structureis at least one-fiftieth ( 1/50) of the shortest of the arms of thecross dipole antenna.

Another embodiment is an apparatus, wherein the apparatus includes: across dipole antenna having a first polarization and a secondpolarization, the cross dipole antenna comprising: a coaxial structurehaving a center conductor and an outer shield, the outer shield havingan outer diameter and a corresponding radius R; a first dipolecomprising a first pair of arms; and a second dipole comprising a secondpair of arms; wherein the arms of at least one pair of the first pair orthe second pair have fixed asymmetric lengths such that at least one armthat is coupled to the outer shield is longer than an arm coupled to thecenter conductor, as measured from a center of the coaxial structure, by0.15 to 1.5 times the radius R; and a second antenna having a thirdpolarization orthogonal to the first polarization and the secondpolarization.

In addition, antenna miniaturization techniques can also be employed.

BRIEF DESCRIPTION OF THE DRAWINGS

These drawings (not to scale) and the associated description herein areprovided to illustrate specific embodiments of the invention and are notintended to be limiting.

FIG. 1 illustrates an example of an antenna pattern for a conventionalcrossed-dipole antenna with uneven current distribution.

FIG. 2 illustrates an example of an antenna pattern for a conventionalcrossed-dipole with non-uniform phase separation.

FIG. 3 illustrates a top-view of a prior art cross-dipole antenna.

FIG. 4 illustrates an example of an asymmetric antenna pattern for aconventional crossed-dipole antenna.

FIG. 5 illustrates an ideal antenna pattern that can be approached by anembodiment of the invention.

FIG. 6 illustrates a top-view of a cross-dipole antenna according to anembodiment of the invention.

FIG. 7 illustrates a perspective view of an embodiment of the crossdipole antenna.

FIG. 8 illustrates simulation results of a prior art antenna.

FIG. 9 illustrates simulation results of an embodiment of thecross-dipole antenna.

FIG. 10 illustrates an example of a 2×2 array of antennas utilizingpolarization diversity.

FIG. 11 illustrates another example of polarization diversity using across-dipole antenna combined with a monopole antenna in a “tee.”

FIG. 12A illustrates an example of a conventional dipole.

FIGS. 12B-12G illustrate examples of conventional loading techniques fora dipole.

FIG. 13A illustrates a top-view of a cross-dipole antenna according toan embodiment of the invention in which each of the arms is compacted byend folding.

FIG. 13B illustrates a top-view of a cross-dipole antenna according toan embodiment of the invention in which each of the arms is compacted bya meander pattern.

FIG. 14A illustrates a top-view of a cross-dipole antenna according toan embodiment of the invention in which two of the arms are compacted bycapacitive end loading, and two of the arms are compacted by a meanderpattern.

FIG. 14B illustrates a perspective view of the cross-dipole antennadepicted in FIG. 14A, wherein the cross-dipole antenna is sandwiched indielectric blocks to form a chip antenna.

FIG. 15 illustrates another example of polarization diversity using across-dipole antenna combined with a monopole antenna in a “tee.”

DETAILED DESCRIPTION OF SPECIFIC EMBODIMENTS

Although particular embodiments are described herein, other embodimentsof the invention, including embodiments that do not provide all of thebenefits and features set forth herein, will be apparent to those ofordinary skill in the art.

FIG. 5 illustrates an ideal antenna pattern 502 that can be approachedfor an embodiment of the invention. Simulations and laboratory resultshave indicated that the antenna pattern can be made omnidirectional towithin 1 dB even at tens of gigahertz with symmetric antenna phasors 504in quadrature. In certain applications, the Federal CommunicationsCommission (FCC) or another regulatory body, sets forth antennarequirements. Examples of other regulatory bodies or quasi regulatorybodies include the International Convention for the Safety of Life atSea (SOLAS), which sets requirements for Search and Rescue Transponders(SARTs); the International Maritime Organization (IMO), which recommendsSART performance standards in Resolution A.802(19); and theInternational Telecommunications Union (ITU), which establishestechnical characteristics to achieve IMO recommended performance andcompliance with SOLAS and publishes Recommendation ITU-R M.628-4, whichincludes antenna characteristics. Regulatory bodies such as the FCCtypically incorporate these standards by reference. In one example,ITU-R M.628.4 requires omnidirectional on the horizon+/−2 dB, withpolarization also horizontal. The polarization of a linearly polarizedantenna can vary depending upon its orientation when used. For example,a cell phone can be oriented in a variety of positions, such as restingflat on a table, or carried vertically when next to a user's ear. Thus,various linearly polarized antennas can generate vertically polarizedwaves, horizontally polarized waves, or both vertically and horizontallypolarized waves depending on its orientation. In addition, depending ona user's perspective to a cross-dipole antenna or a turnstile antenna,the polarization can vary. When a cross-dipole antenna is mountedhorizontally such that the arms of the antenna are horizontal, thepolarization of the waves radiated by the antenna near the horizon ishorizontal and the antenna is approximately omnidirectional. Disclosedtechniques improve the omnidirectionality of the cross-dipole antennawhen mounted horizontally. Such horizontal mounting is useful in, forexample, wireless access point applications. With respect to zenith ornadir orientation, the cross-dipole antenna exhibits a circularpolarization with either right-hand or left-hand polarization dependingon the phasing of the arms. In one embodiment, such as in a SOLASapplication in which radiation with respect to zenith or nadir is notneeded and the cross-dipole antenna has a horizontal orientation, thearms of the cross-dipole antenna can optionally be sandwiched betweenreflectors to redirect energy from the zenith or nadir direction to thehorizontal direction. However, the improvement in phasing among the armsalso improves the axial ratio characteristics of circularly polarizedwaves. The axial ratio is the ratio of the magnitudes of the major andminor axis defined by the electric field vector. In one embodiment, withthe improved phasing among the arms, the axial ratio of the circularlypolarized waves can approach 1.

Applicant theorized and confirmed with both simulations and in teststhat at relatively high frequencies, the connection of the antenna tothe coaxial cable distorts the antenna pattern. In the distant past,such distortions were relatively small because radio frequencies wererelatively low and had correspondingly long wavelengths. However, manymodern devices use relatively high frequencies. For example, under thewireless local area network standards of IEEE 802.11, applicablefrequencies are in the 2.4, 3.6, and 5 gigahertz (GHz) range. In anotherexample, the broadband wireless access standards of IEEE 802.16 usefrequency bands from 10 to 66 GHz, from 2 to 11 GHz and so on. Atrelatively high frequencies, the wavelengths can be relatively short.For example, a signal with a frequency of 10 GHz has a wavelength ofonly about 3 centimeters. The shield diameter of a coaxial cable canvary widely depending on the cable, but commonly runs in the range of afew to several millimeters.

Applicant recognized that while design tools predicted anomnidirectional antenna pattern for a cross dipole antenna, in practice,an antenna pattern would exhibit unacceptable nulls. These nulls canundesirably cause “dead spots” in coverage. Applicant recognized thatthere were additional phase shifts due to the coaxial cable diameter,which while negligible at relatively low frequencies and relatively longwavelengths, are not negligible at high frequencies. In one embodiment,when the radius (half the diameter) of the outer shield of the coaxialcable is at least 2-3 percent of the intended wavelength for theantenna, then the disclosed techniques should be used. A resultingantenna has a more omnidirectional antenna pattern with better coverage.

FIG. 6 illustrates a top-view of a cross dipole antenna according to anembodiment of the invention. The drawing is not to scale. Differences inarm length have been exaggerated to make the improvements easier to see.A coaxial structure is also shown. The coaxial structure can correspondto, for example, a coaxial cable, a connector for a coaxial cable, anadaptor, or part of the frame of the antenna itself. In FIG. 6, onlyconductive portions of the cross dipole antenna are shown. While only asingle cross dipole antenna is shown, embodiments of the invention areapplicable to arrays of cross dipole antennas, such as in a bayed array.In addition, while illustrated in connection with relatively thin,elongated arms, the arms of the antenna can have varying shapes.

The coaxial structure includes a center conductor 602 and an outershield 604. In a coaxial cable, a dielectric material fills the spacebetween the center conductor 602 and the outer shield 604.

In counterclockwise order from above, the antenna has a first arm 612, asecond arm 614, a third arm 616, and a fourth arm 618. A mirror image ofthe antenna is also applicable. In one embodiment, the arms 612, 614,616, 618 are “fan” shaped and fabricated on a printed circuit. None ofthe arms 612, 614, 616, 618 of the illustrated have the same length, asthe optimization technique is applied to each dipole. However, as willbe discussed later, in a suboptimal solution, the optimization techniqueis applied to only one dipole of the pair of dipoles. One of ordinaryskill in the art will appreciate that the precise dimensions of thecross dipole antenna will vary depending on the coaxial feedlinediameter and the intended frequency band for the antenna.

The first arm 612 and the third arm 616 form a first dipole. The secondarm 614 and the fourth arm 618 form a second dipole. In a conventionalcross dipole antenna, the first arm 612 and the third arm 616 each havethe same length, and each is shorter than half a wavelength for theintended frequency band. Also, in a conventional cross dipole antenna,the second arm 614 and the fourth arm 618 have the same length, and eachis longer than half a wavelength for the intended frequency band.

In the illustrated embodiment, the first arm 612 and the second arm 614,both of which are electrically coupled to the center conductor 602 ofthe coaxial structure, are of conventional length. The third arm 616 andthe fourth arm 618 are electrically coupled to the outer shield 604 ofthe coaxial structure, and are longer than conventional length,preferably by about 0.6 times the radius R of the outer shield 604.

TABLE I arm connection relative angle arm length first arm 612 center 0° aλ second arm 614 center  90° bλ third arm 616 shield 180° aλ + xRfourth arm 618 shield 270° bλ + xR

Table I summarizes the connections, the relative angles, and the armlengths for the antenna. The lengths of each arm are described from thecenter of the coaxial feedline to a distal end, wherein a proximal endof each arm is connected to either the center conductor or to the outershield, as appropriate. In contrast to the conventional art, the armlengths of each dipole are not the same. In the illustrated embodiment,the first arm 612 and the second arm 614 are shorter than thecorresponding arms 312, 314 (FIG. 3) of the conventional art, and thethird arm 616 and the fourth arm 618 are longer than the correspondingarms 316, 318 (FIG. 3) of the conventional art. In Table 1, the factor acorresponds to the fraction used for the shorter arms of theconventional cross dipole antenna. The factor b corresponds to thefraction used for the longer arms of the conventional cross dipoleantenna. Typically, a skilled practitioner uses 0.5 as a starting pointfor factor a and for factor b, and reduces a to make the correspondingarms more capacitive and lengthens b to make the corresponding arms moreinductive. This advances and retards the phase by 45 degrees, which inturn generate the quadrature phase relationships among the arms. Vectorvoltmeters, network analyzers, and simulation models are typicallyemployed to generate the desired lengths corresponding to factor a andfactor b. Applicant has recognized that the radius R (half the diameter)of the outer conductor of the corresponding coaxial structure, such ascoaxial cable, impacts the arm length for those arms connected to theouter conductor. The distorting effect on the antenna pattern caused bythe outer conductor becomes more acute as the coaxial structure outerdiameter becomes larger relative to the length of the arms. Asfrequencies go up, the arm lengths decrease. In addition, since largerdiameter coaxial structures have less loss at high frequencies, it isdesirable to use larger diameter coaxial structures as frequency goesup. In one embodiment, disclosed techniques provide a noticeable benefitto antenna pattern above 1 GHz. In one embodiment, the illustratedtechniques are applicable when the radius of the outer shield of thecoaxial structure is at least one-fiftieth ( 1/50) of the shortest ofthe arms 612, 614, 616, 618 or at least one-thirtieth ( 1/30) of theshortest of the arms 612, 614, 616, 618.

The constant R represents the radius of the outer shield 604 of thecoaxial structure. The factor x corresponds to the fraction, preferablyabout 0.6, which is multiplied by the radius R and added to the lengthsof the third arm 616 and the fourth arm 618. The additional length fromfactor x does not have to be the same for the third arm 616 and thefourth arm 618. However, the factor x can vary in a relatively broadrange. For example, x can vary between about 0.54 to about 0.66. Inanother example, x can vary between about 0.48 to about 0.72. In anotherexample, x can vary between about 0.42 to about 0.78. In anotherexample, x can vary between about 0.3 to about 1.2. In another example,x can vary between about 0.15 to about 1.15. Other applicable values forx will be readily determined by one of ordinary skill in the art.

The modified arm lengths are of critical nature for the antenna patternfor operation at high frequencies. In one embodiment, the arm lengthsare of predetermined length or fixed length and are not adjustable by anend user. For example, each arm can be formed from conductive traces ona circuit board. In alternative embodiments, the arms can be constructedfrom rods, tubes, wire frames, plates, and the like.

FIG. 7 illustrates a perspective view of the embodiment of the crossdipole antenna described earlier in connection with FIG. 6. Again, onlyconductive portions of the antenna are illustrated. The same partsappearing in FIGS. 6 and 7 are designated by the same reference number.As discussed earlier in connection with FIG. 6, the mirror image of theillustrated embodiment is also applicable.

As no tuning is required, the arms 612, 614, 616, 618 of the antenna canbe implemented with conductive traces (typically copper) on a printedcircuit board. For example, the first arm 612 and the second arm 614 canbe formed on a first side (for example, upper) of the circuit board, andthe third arm 616 and the fourth arm 618 can be formed on a second side(for example, lower) of the circuit board. For example, the centerconductor 602 can be soldered to electrically connect to the traces forthe first arm 612 and the second arm 614, and the outer shield 604 canbe soldered to connect to the traces for the third arm 616 and thefourth arm 618. In an alternative embodiment, the traces are formed ondifferent layers of a circuit board, which are not necessarily onopposite sides of the circuit board. Of course, adapters and/orconnectors can also be disposed between the coaxial structure and thearms 612, 614, 616, 618 of the antenna.

Preferably, the length of one arm from each dipole of an antenna islengthened from that of the standard cross-dipole dimension tocompensate for the affects of the coaxial structure. However, in analternative embodiment, less than each dipole has an arm with a modifiedlength as taught herein.

A variety of software programs can be used to model an antenna. Forexample, EZNEC, which is software tool available from the following URL:<http://www.eznec.com/> can be used. Applicant scaled size andwavelength by a factor of 1000 (scaling frequency by a factor of 1/1000)to run the simulations illustrated in FIGS. 8 and 9. All dimensions ofthousandths of inches were scaled to inches, and frequencies ofgigahertz (GHz) were scaled to megahertz (MHz).

Tables II and III illustrate examples of dimensions for antennassuitable for operation at about 9.4 GHz. Table II corresponds to priorart FIG. 3, and Table III corresponds to the embodiment illustrated inFIGS. 6 and 7. These lengths are as measured from the center of thecoaxial structure. In addition, the simulation models included a 0.1inch diameter coaxial cable feedline.

TABLE II arm connection arm length first arm 312 center 0.225 inchessecond arm 314 center 0.265 inches third arm 316 shield 0.225 inchesfourth arm 318 shield 0.265 inches

TABLE III arm connection arm length first arm 612 center 0.215 inchessecond arm 614 center 0.250 inches third arm 616 shield 0.235 inchesfourth arm 618 shield 0.280 inches

The simulations assumed lossless wires and were modeled in free space(no ground). To model the effects of the open end of the shield of thefeedline, wires in an octagon pattern were included in the model. Inaddition, wires in a spoke pattern carried currents to the wires in theoctagon pattern for modeling of the open end of the shield.

FIG. 8 illustrates simulation results of a prior art antenna at 9.4 GHz,having the dimensions illustrated in Table II. With the feedlineincluded in the simulation model, the simulation exhibits the “kidneybean” shaped pattern that is undesirable.

FIG. 9 illustrates simulation results of an embodiment of thecross-dipole antenna at 9.4 GHz, having the dimensions illustrated inTable III. The feedline is also modeled in FIG. 9. As illustrated by thesimulation results, the antenna pattern is nearly omnidirectional. Thesimulated model corresponds to a flat antenna having “fan” shaped armsthat can be readily fabricated on a printed circuit board. Each of thefan-shaped arms is modeled by 3 wires in the simulation.

While illustrated in the context of a single cross dipole, theprinciples and advantages of the cross dipole antenna described hereinare also applicable to antenna arrays, or to combinations withreflectors, such as when the cross-dipole antenna is sandwiched betweentwo disks. Such a configuration is useful in Search and RescueTransponders (SARTs). In one embodiment, a plurality of cross-dipoleantennas can be arranged in an array with a vertical coaxial feedlinewith sets of arms arranged at spacings along the array's height. Inanother example with a reflector, the nadir or zenith orientation isdesired, and the cross-dipole antenna emanates circularly polarizedwaves as a feed for the reflector, which can be, for example, aparabolic reflector or “dish,” or any other reflector used to create acavity-backed circularly-polarized antenna. For example, a cross-dipoleantenna according to an embodiment of the invention can be combined witha plate on one side of the cross-dipole antenna to feed a dish on theother side of the cross-dipole antenna.

Cross-dipole antenna embodiments of the invention of a particularpolarization can advantageously be combined with one or more otherantennas having a polarization orthogonal to the polarization of thecross-dipole antenna to form an antenna system featuring orthogonalpolarizations, which can be exploited for polarization diversity and/orspatial multiplexing. For example, a cross-dipole antenna havinghorizontal polarization can be combined with a dipole antenna or amonopole antenna having a vertical polarization. In the case of spatialmultiplexing, electromagnetic waves with orthogonal polarizations cancarry independent information, which can permit an increase of the datarate as compared to a single-polarized systems. See, for example M.Shafi, M. Zhang, A. L. Moustakas, P. J. Smith, A. F. Molisch, F.Tufvesson, and S. H. Simon, Polarized MIMO Channels in 3D: Models,Measurements and Mutual Information, IEEE J. Selected Areas Comm., 24,514-527 (2006). Thus, the data rate can be approximately doubledcompared to a system that cannot transmit/receive orthogonalpolarizations. For the case of polarization diversity, the sameinformation can be transmitted on two orthogonal polarizations, andsince fading on the two polarizations is independent, polarizationdiversity provides greater signal robustness. With polarizationdiversity, the waves having polarizations that are orthogonal to eachother interfere with each other much less than waves that do not haveorthogonal polarizations. Accordingly, the throughput or data rate thatcan be carried via a system utilizing horizontal polarization can benearly double that of a system without polarization diversity. Manyconfigurations combining the cross-dipole antenna with another antennafor polarization diversity are possible, and the followingconfigurations are illustrative and not limiting.

FIG. 10 illustrates an example of a 2×2 array of antennas utilizingpolarization diversity. The array can be used as a component of amultiple-input and multiple-output (MIMO) system. Each antenna of the2×2 array is coupled to its own coaxial structure, which can be acoaxial cable (rigid or flexible). The other end of the coaxialstructure can then be coupled to a transmitter, receiver,transmitter/receiver, transceiver, or the like (not shown).

In the illustrated example of FIG. 10, a first cross-dipole antenna 1002and a second cross-dipole antenna 1004 provide polarization in a firstorientation. The first cross-dipole antenna 1002 and the secondcross-dipole antenna 1004 can correspond to the cross-dipole antennadescribed earlier in connection with FIGS. 6 and 7. A first monopoleantenna 1006 and a second monopole antenna 1008 provide polarization ina second orientation that is orthogonal to the first orientation. Forexample, the first polarization can be horizontal, and the secondpolarization can be vertical.

In one example, the first monopole antenna 1006 is formed by a centerconductor portion 1010 and a folded back portion 1012 of the coaxialstructure 1014. Each of the center conductor portion 1010 and the foldedback portion 1012 is approximately a quarter wavelength for thefrequency of interest. The folded back portion 1012 is coupled to theshield of the coaxial structure 1014. Of course, the antennas can beencapsulated in plastic or the like so that the underlying structuresmay not be visible to the naked eye.

The antennas 1002, 1004, 1006, 1008 can have the same or can havedifferent frequency ranges. In an alternative embodiment, a dipoleantenna can be used in place of one or more of the first monopoleantenna 1006 and the second monopole antenna 1008.

The array can have dimensions other than 2×2. For example, a smallerarray of two antennas, such as the first cross-dipole antenna 1002 andfirst monopole antenna 1006 with polarization orthogonal to each othercan be used.

Another variation corresponds to increasing the size of the array, suchas arranging the antenna in a 3×3 array, a 4×4 array, or even larger. Ofcourse, many variations are possible. For example, non-rectangulararrays, such as triangular arrays, circular arrays, and the like areapplicable.

FIG. 11 illustrates another example of antennas with orthogonalpolarization using a cross-dipole antenna 1102 combined with a monopoleantenna 1104 using a “tee.” The illustrated embodiment is an example ofan “all-in-one” design. Other “all-in-one” configurations will bereadily determined by one of ordinary skill in the art. The cross-dipoleantenna 1102 can correspond to the cross-dipole antenna describedearlier in connection with FIGS. 6 and 7. An end 1106 of a coaxialstructure is coupled to a transmitter, receiver, transmitter/receiver,transceiver or the like. The lengths of sections of the “tee” can beadjusted to correct for impedance mismatches. Techniques such as theSmith Chart can be used to aid the designer.

In the illustrated example, the same feedline feeds both thecross-dipole antenna 1102 and the monopole antenna 1104 to provide twoorthogonal polarizations for the same signal(s). When the same feedlinefeeds both the cross-dipole antenna 1102 and the monopole antenna 1104,a variable phase shifter (not shown) should be inserted between the teeand at least one of the cross-dipole antenna 1102 and the monopoleantenna 1104 to generate a relative phase difference between thecross-dipole antenna 1102 and the monopole antenna 1104, said phaseshift being chosen such that it leads to an improvement in thesignal-to-noise-and-interference ratio of the overall detected signal.In one embodiment, the variable phase shifter corresponds to a devicehaving multiple selectable path lengths which are selected anddeselected to change a path length, and thus a phase, of the signalpassing through the phase shifter. PIN diodes can be used to activate aparticular path. These PIN diodes can be selectively activated inresponse to a control signal from a control circuit, such as amicroprocessor. Off-the-shelf phase shifters can alternatively be used.For example, suitable phase shifters are available from Narda Microwave,Microtek Inc., and the like.

With respect to phase shifting frequency, the frequency for phaseshifting a full cycle of phase (360 degrees) can be varied in a verybroad range but should be at least as high as the maximum anticipatedDoppler shift frequency between a receiver and a transmitter of thesystem. Of course, the Doppler shift frequency varies with the RFfrequency being transmitted. For example, in an example of a WiFiwireless access point, a controller or microprocessor of the wirelessaccess point can control the phase shifting of the variable phaseshifter. The phase shifting frequency can be predetermined to aparticular frequency, such as, but not limited to, several thousandHertz, or can be adaptively adjusted in response to varying Dopplerfrequencies encountered.

In an alternative embodiment, the cross-dipole antenna 1102 and themonopole antenna 1104 can maintain their relative orientations, butinstead can be coupled to separate feedlines. The signals to/from theseparate feedlines can be up (down) frequency shifted from/to baseband,so that separate processing of the signals in baseband is possible. Thisapproach can be used for both diversity and spatial multiplexing.

While described earlier in the context of a full-size cross-dipoleantenna, the principles and advantages of the cross-dipole antenna arealso applicable to miniaturized versions of the cross-dipole antenna.Miniaturization in the context of antenna art is not mere scaling. Witha full-size cross-dipole antenna, the physical length of an arm of theantenna is the same as the electrical length. Thus, the lengths for thearms described earlier in connection with Tables I, II, and III apply toboth the physical length and to the electrical length of the arms.

With antenna miniaturization, the physical length of an arm of a dipolecan be shorter than the effective electrical length or virtual length ofthe arm. The effective electrical length of a miniaturized arm is thecorresponding length that the arm would have for electrical performanceif it were to be made with a straight, very thin conductor (to avoidcapacitive loading) and in free space. Antenna miniaturizationtechniques are well known in the art and include loading techniques, aswell as techniques that encase the antenna in a material with a highrelative permittivity and/or a high relative permeability. For anexample of loading techniques, the reader is directed to ApplicationNote AN2731 from Freescale Semiconductor, titled Compact IntegratedAntennas, dated July 2006, revision 1.4, which is available at thefollowing URL: <http://www.freescale.com/files/rf if/doc/appnote/AN2731.pdf>.

A very wide range of loading techniques can be used to physicallyshorten one or more arms of the cross-dipole antenna while maintainingthe effective electrical length relationships. With antennaminiaturization, the lengths for the arms described earlier inconnection with Tables I, II, and III apply to the effective electricallength of the arms and can vary from the physical lengths for arms thatare miniaturized.

For comparison purposes, FIG. 12A illustrates an example of aconventional dipole. FIGS. 12B-12G illustrate non-exhaustive examples ofconventional loading techniques for a dipole that can be applied to oneor more arms of a cross-dipole antenna according to an embodiment of theinvention. Other loading techniques, including loading techniques yet tobe discovered, can also be applicable. In FIGS. 12B-12G, the loadingtechniques are applied to each arm of a dipole. However, these loadingtechniques can be applied to one or both arms of a dipole (for example,one unloaded arm and one loaded arm), to one or both dipoles of thecross-dipole antenna, can be combined such that more than one type ofloading technique can be applied to a dipole of or to both dipoles ofthe cross-dipole antenna, and can even be combined such that more thanone loading technique can apply to a particular arm of the cross-dipoleantenna.

FIG. 12B illustrates an example of a bent dipole. FIG. 12C illustratesan example of a folded, in the illustrated case, double folded, dipole.FIG. 12D illustrates an example of capacitive end loading, which is alsoknown as a “top hat.” The capacitive end loading can be implemented byusing a capacitive plate at the distal end of the arm. FIG. 12Eillustrates an example of meander pattern loading. The loadingtechniques illustrated in FIGS. 12B-12E can be implemented flat in2-dimensions as shown. This can be advantageous when the antenna is partof an integrated circuit or for other packaging reasons. However, theloading techniques can also be bent, folded, end loaded, or meandered in3-dimensions. FIG. 12F illustrates an example of inductive loading,which can be typically implemented using coils. FIG. 12G illustrates anexample of stub loading in a hairpin configuration. In another example,the arms can have “fan” shapes. With a fan-shaped arm, a portion of thearm at a distal end is wider than a portion of the arm nearer thecoaxial structure.

FIG. 13A illustrates a top-view of a cross-dipole antenna according toan embodiment of the invention in which each of the arms 1312, 1314,1316, 1318 is compacted by end folding. A coaxial structure includes acenter conductor 1302 and an outer shield 1304, which can correspond tothe center conductor 602 and the outer shield 604 described earlier inconnection with FIG. 6. A first arm 1312, a second arm 1314, a third arm1316, and a fourth arm 1318 have the same effective electrical length asthe first arm 612, the second arm 614, the third arm 616, and the fourtharm 618, respectively, of the embodiment described earlier in connectionwith FIG. 6, but the arms 1312, 1314, 1316, 1318 are physically shorter.A mirror image of the antenna is also applicable. The antenna of FIG.13A is drawn for illustrative purposes only and is not necessarily toscale. While illustrated with each of the arms end folded, in otherembodiments, one, two, or three of the arms are compacted by endfolding, and the other arms are either not compacted or are compactedwith a different technique. Accordingly, a miniaturized arm cancorrespond to at least one of a bent arm, a folded arm, a capacitive endloaded arm, a meander pattern loaded arm, or an inductively loaded arm.

FIG. 13B illustrates a top-view of a cross-dipole antenna according toan embodiment of the invention in which each of the arms 1332, 1334,1336, 1338 is compacted by meandering. A coaxial structure includes acenter conductor 1322 and an outer shield 1324, which can correspond tothe center conductor 602 and the outer shield 604 described earlier inconnection with FIG. 6. A first arm 1332, a second arm 1334, a third arm1336, and a fourth arm 1338 have the same effective electrical length asthe first arm 612, the second arm 614, the third arm 616, and the fourtharm 618, respectively, of the embodiment described earlier in connectionwith FIG. 6, but the arms 1332, 1334, 1336, 1338 are physically shorter.A mirror image of the antenna is also applicable. The antenna of FIG.13B is drawn for illustrative purposes only and is not necessarily toscale. While illustrated with each of the arms meandered, in otherembodiments, one, two, or three of the arms are compacted by meandering,and the other arms are either not compacted or are compacted with adifferent technique. A meander pattern can also include a stub forimpedance matching.

FIG. 14A illustrates a top-view of a cross-dipole antenna according toan embodiment of the invention in which two of the arms 1412, 1416 arecompacted by capacitive end loading, and two of the arms 1414, 1418 arecompacted by a meander pattern. A coaxial structure includes a centerconductor 1402 and an outer shield 1404, which can correspond to thecenter conductor 602 and the outer shield 604 described earlier inconnection with FIG. 6. A first arm 1412, a second arm 1414, a third arm1416, and a fourth arm 1418 have the same effective electrical length asthe first arm 612, the second arm 614, the third arm 616, and the fourtharm 618, respectively, of the embodiment described earlier in connectionwith FIG. 6, but the arms 1412, 1414, 1416, 1418 are physically shorter.A mirror image of the antenna is also applicable. The antenna of FIG.14A is drawn for illustrative purposes only and is not necessarily toscale. Of course, other combinations are possible.

FIG. 14B illustrates a perspective view of the cross-dipole antennadepicted in FIG. 14A. In addition, the arms of the antenna are encasedin a material having a high relative permittivity ∈_(r) and/or highrelative permeability μ_(r). The characteristics of high relativepermittivity ∈_(r), high relative permeability μ_(r), or both canfurther shrink the physical size of the antenna while maintaining alarger effective electrical length for the arms.

The arms of an antenna can be encased in a material having a highrelative permittivity ∈_(r) and/or high relative permeability μ_(r) forpackaging or miniaturization. The relative permittivity and the relativepermeability of free space is 1. In one embodiment, high relativepermittivity includes values for relative permittivity of at least 1.1.In one embodiment, high relative permeability includes values forrelative permeability of at least 1.1. When desired for miniaturizationor for packaging, the encasing of the arms in a material with either orboth a high relative permittivity ∈_(r) characteristic and/or highrelative permeability μ_(r) characteristic can be applied to bothotherwise full-size antennas and to antennas utilizing one or more ofthe loading techniques described earlier in connection with FIGS.12B-12G.

FIG. 15 illustrates the example of FIG. 11 with a variable shifter 1508drawn. In the illustrated embodiment, the variable phase shifter 1508 isinserted between the tee and the monopole antenna 1104. For example, acontroller or microprocessor of a wireless access point can control thephase shifting of the variable phase shifter as indicated by the input“phase shift control.” The phase shifting frequency can be predeterminedto a particular frequency, such as, but not limited to, several thousandHertz, or can be adaptively adjusted in response to varying Dopplerfrequencies encountered.

Returning now to FIG. 6, in another embodiment, the first arm 612 andthe third arm 616 form a first dipole. The second arm 614 and the fourtharm 618 form a second dipole. In a conventional cross-dipole antenna,the first arm 612 and the third arm 616 each have the same length, andeach is shorter than a quarter of a wavelength for the intendedfrequency band. Also, in a conventional cross-dipole antenna, the secondarm 614 and the fourth arm 618 have the same length, and each is longerthan a quarter of a wavelength for the intended frequency band(notwithstanding use of some miniaturization technique). According to anembodiment of the invention, the arm lengths of dipoles of thecross-dipole antenna can vary as described below in connection withTable IV.

TABLE IV arm connection relative angle arm length first arm 612 center 0° aλ − y₁R second arm 614 center  90° bλ − y₂R third arm 616 shield180° aλ + y₃R fourth arm 618 shield 270° bλ + y₄R

In one embodiment, four adjustment factors y₁, y₂, y₃, and y₄ do notneed to be identical, and preferably, all four arms are optimized forperformance. In the configuration described earlier in connection withTable III, the example yields the pattern illustrated in FIG. 8,advantageously exhibiting relatively good phase quadrature withrelatively equal amplitudes. By contrast, the configuration of Table IIyields the pattern illustrated in FIG. 9. Returning now to theconfiguration described earlier in Table IV, the lengthening of theouter shield-connected arms 616, 618 by adjustment factors y₃ and y₄ isaccompanied by some shortening by adjustment factors y₁ and y₂ of theinner conductor connected arms 612, 614.

Table V, below, summarizes the connections, the relative angles, and thearm lengths for another embodiment of the antenna. The lengths of eacharm are described from the center of the coaxial feedline to a distalend, wherein a proximal end of each arm is connected to either thecenter conductor or to the outer shield, as appropriate. In contrast tothe conventional art, the arm lengths of each dipole are not the same.In the illustrated embodiment, the first arm 612 and the second arm 614(FIG. 6) are shorter than the corresponding arms 312, 314 (FIG. 3) ofthe conventional art, and the third arm 616 and the fourth arm 618 arelonger than the corresponding arms 316, 318 (FIG. 3) of the conventionalart. In Table V, the factor a corresponds to the fraction used for theshorter arms of the conventional cross-dipole antenna. The factor bcorresponds to the fraction used for the longer arms of the conventionalcross-dipole antenna. In one embodiment, a skilled practitioner uses0.25 as a starting point for factor a and for factor b. Then by reducinga to make the corresponding arms more capacitive and lengthening b tomake the corresponding arms more inductive, the phase of the current isadvanced and retarded, respectively. When each phase has been changed by45 degrees, the desired quadrature phase relationships among the arms isestablished. Vector voltmeters, network analyzers, and simulation modelsare typically employed to generate the desired lengths corresponding tofactor a and factor b. Applicant has recognized that the radius R (halfthe diameter) of the outer conductor of the corresponding coaxialstructure, such as coaxial cable, impacts the arm length for those armsconnected to the outer conductor. The distorting effect on the antennapattern caused by the outer conductor becomes more acute as the coaxialstructure outer diameter becomes larger relative to the length of thearms. As frequencies go up, the arm lengths decrease. In addition, sincelarger diameter coaxial structures have less loss at high frequencies,it is desirable to use larger diameter coaxial structures as frequencygoes up. In one embodiment, disclosed techniques provide a noticeablebenefit to antenna pattern above 1 GHz. See for example, the pattern ofFIG. 9. By contrast, according to prior art techniques, the “kidneybean” shaped pattern of FIG. 8 was not correctable. In one embodiment,the illustrated techniques are applicable when the radius of the outershield of the coaxial structure is at least one-fiftieth ( 1/50) of theshortest of the arms 612, 614, 616, 618 or at least one-thirtieth (1/30) of the shortest of the arms 612, 614, 616, 618.

The constant R represents the radius of the outer shield 604 of thecoaxial structure. The factors y₁, y₂, y₃, and y₄ corresponds to afraction, preferably about 0.6, which is multiplied by the radius R andadded to the lengths of the third arm 616 and the fourth arm 618.However, the factors y₁, y₂, y₃, and y₄ can vary in a relatively broadrange. For example, y₁, y₂, y₃, and y₄ can vary between about 0.54 toabout 0.66. In another example, y₁, y₂, y₃, and y₄ can vary betweenabout 0.48 to about 0.72. In another example, y₁, y₂, y₃, and y₄ canvary between about 0.42 to about 0.78. In another example, y₁, y₂, y₃,and y₄ can vary between about 0.3 to about 1.2. In another example, y₁,y₂, y₃, and y₄ can vary between about 0.15 to about 1.15. Otherapplicable values for y₁, y₂, y₃, and y₄ will be readily determined byone of ordinary skill in the art.

Table IV illustrates an example of dimensions for an embodiment of anantenna suitable for operation at about 9.4 GHz, wherein the antenna hasfan-shaped arms fabricated using copper traces on a printed circuit (PC)board. Such fan-shaping of the arms as well as the dielectric of the PCboard has a subtle miniaturization effect, and as a result, the armlengths of the illustrated embodiment are each shorter than a quarter ofa free-space wavelength. For example, the spreading of the arm at adistal end has an effect similar to the capacitive end loaded armdescribed earlier in connection with FIG. 12D. These lengths are asmeasured from the center of the coaxial structure. In addition, thesimulation models included a 0.1 inch diameter coaxial cable feedline.

TABLE V adj. relative arm connection adj. adj./R (inches) arm lengthadj./R first arm center −y₁R −0.2 −0.01 0.215 n/a 612 inches secondcenter −y₂R −0.3 −0.015 0.250 n/a arm 614 inches third shield y₃R 0.2+.01 0.235 x = y₁ + y₃ = arm 616 inches 0.4 fourth shield y₄R 0.3 +0.0150.280 x = y₂ + y₄ = arm 618 inches 0.6

In Table V, the column “arm” describes the particular arm, the column“connection” describes the connection for the arm, the column “adj”corresponds to the adjustment for the arm as described earlier inconnection with Table IV. The column “adj./R” illustrates the actualvalue for y₁, y₂, y₃, and y₄ as used in the example illustrated in TableIII with a 0.1 inch diameter (0.05 inch radius) coaxial structure. Thecolumn “adj. (inches)” describes the adjustment in inches. The column“arm length” describes the overall arm length, and the “relative adj./R”describes the corresponding x value described earlier in connection withTable 1.

The arms 612, 614, 616, 618 of the antenna can be implemented withconductive traces (typically copper) on a printed circuit board. Forexample, the first arm 612 and the second arm 614 can be formed on afirst side (for example, upper) of the circuit board, and the third arm616 and the fourth arm 618 can be formed on a second side (for example,lower) of the circuit board. For example, the center conductor 602 canbe soldered to electrically connect to the traces for the first arm 612and the second arm 614, and the outer shield 604 can be soldered toconnect to the traces for the third arm 616 and the fourth arm 618. Inan alternative embodiment, the traces are formed on different layers ofa circuit board, which are not necessarily on opposite sides of thecircuit board. Of course, adapters and/or connectors can also bedisposed between the coaxial structure and the arms 612, 614, 616, 618of the antenna.

The cross dipole antenna described above can be used in a variety ofapplications, such as, but not limited to, base stations, wirelessrouters, wireless access points, wireless bridges, cellular telephonebase stations, cellular telephones, wireless computers, portable orhand-held computers, a set top boxes for television, video gamingconsoles, interactive kiosks, digital cameras, digital video cameras,digital music players, other electronic devices or combinations thereof.Another example of an application in which the cross dipole antenna canbe used is in a femtocell.

Various embodiments have been described above. Although described withreference to these specific embodiments, the descriptions are intendedto be illustrative and are not intended to be limiting. Variousmodifications and applications may occur to those skilled in the art.

What is claimed is:
 1. A method for designing a cross-dipole antennaintended to be used for a signal having a wavelength λ, wherein thecross-dipole antenna comprises a first arm, a second arm, a third arm,and a fourth arm, the method comprising: generating a simulation modelof the cross-dipole antenna, wherein the simulation model includes thefirst arm, the second arm, the third arm, the fourth arm and a coaxialstructure to which the first arm, the second arm, the third arm, and thefourth arm are connected; simulating the cross-dipole antenna viacomputer execution of the simulation model; and adjusting arm lengths ofone or more of the first arm, the second arm, the third arm, and thefourth arm in response to simulation results.
 2. The method of claim 1,further comprising: starting with a length aλ for the first arm and thethird arm, wherein a value for a is about 0.5, wherein the first arm isconnected to a center conductor of the coaxial structure and the thirdarm is connected to a shield of the coaxial structure; starting with alength bλ for the second arm and the fourth arm, wherein a value for bis about 0.5, wherein the second arm is connected to a center conductorof the coaxial structure and the fourth arm is connected to a shield ofthe coaxial structure; adjusting the value for a of the shorter arms andadjusting the value for b of the longer arms until a quadrature phaserelationship is established among the arms, wherein a final value for aof the shorter arms is less than a final value for b of the longer arms,wherein the quadrature phase relationship is determined via computerexecution of the simulation model; increasing a length of the third armrelative to the first arm by a fraction x of a radius R of the coaxialstructure; and increasing a length of the fourth arm relative to thesecond arm by the fraction x of the radius R of the coaxial structure.3. The method of claim 2, wherein a value for x is between about 0.3 toabout 1.2.
 4. The method of claim 2, wherein a value for x is betweenabout 0.42 to about 0.78.
 5. The method of claim 2, wherein a value forx is between about 0.48 to about 0.72.
 6. The method of claim 2, whereina value for x is between about 0.54 to about 0.66.